Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850ba |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
23419504062500 = 22 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7375,-75375] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:2139:8] |
Generators of the group modulo torsion |
j |
24137569/12740 |
j-invariant |
L |
6.4379110536125 |
L(r)(E,1)/r! |
Ω |
0.54663082555315 |
Real period |
R |
2.9443596814623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370x1 4550d1 |
Quadratic twists by: 5 -7 |